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Finding the Fourth Proportional to 420,381.60, 629,535.60 and 279,376.80

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Solution

The fourth proportional to 420,381.60, 629,535.60 and 279,376.80 is: 418,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,381.60 : 629,535.60 = 279,376.80 : x
  2. Step 2: Convert to fraction form
    420,381.60/629,535.60 = 279,376.80/x
  3. Step 3: Cross multiply
    420,381.60x = 629,535.60 × 279,376.80
  4. Step 4: Simplify right side
    420,381.60x = 175,877,641,414.08
  5. Step 5: Solve for x
    x = 175,877,641,414.08/420,381.60
  6. Step 6: Final answer
    x = 418,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.